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Finding the Fourth Proportional to 24,854.34, 37,282.14 and 7,324.77

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Solution

The fourth proportional to 24,854.34, 37,282.14 and 7,324.77 is: 10,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.34 : 37,282.14 = 7,324.77 : x
  2. Step 2: Convert to fraction form
    24,854.34/37,282.14 = 7,324.77/x
  3. Step 3: Cross multiply
    24,854.34x = 37,282.14 × 7,324.77
  4. Step 4: Simplify right side
    24,854.34x = 273,083,100.61
  5. Step 5: Solve for x
    x = 273,083,100.61/24,854.34
  6. Step 6: Final answer
    x = 10,987.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.